Wormhole dynamics in spherical symmetry

TL;DR

This paper develops a dynamical theory of traversable wormholes in spherical symmetry, exploring their properties, laws, and interactions with black holes, and proposing a new thermodynamic framework.

Contribution

It introduces a comprehensive dynamical framework for spherical wormholes, including laws and thermodynamics, and examines their interactions with black holes.

Findings

Wormholes consist of trapped surfaces between two mouths in causal contact.

The null energy condition must be violated at wormhole mouths.

Dynamic processes like enlargement, reduction, and black hole conversion are analyzed.

Abstract

A dynamical theory of traversable wormholes is detailed in spherical symmetry. Generically a wormhole consists of a tunnel of trapped surfaces between two mouths, defined as temporal outer trapping horizons with opposite senses, in mutual causal contact. In static cases, the mouths coincide as the throat of a Morris-Thorne wormhole, with surface gravity providing an invariant measure of the radial curvature or "flaring-out". The null energy condition must be violated at a wormhole mouth. Zeroth, first and second laws are derived for the mouths, as for black holes. Dynamic processes involving wormholes are reviewed, including enlargement or reduction, and interconversion with black holes. A new area of wormhole thermodynamics is suggested.